Geodesic acoustic modes in noncircular cross section tokamaks


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Abstract

The influence of the shape of the plasma cross section on the continuous spectrum of geodesic acoustic modes (GAMs) in a tokamak is analyzed in the framework of the MHD model. An expression for the frequency of a local GAM for a model noncircular cross section plasma equilibrium is derived. Amendments to the oscillation frequency due to the plasma elongation and triangularity and finite tokamak aspect ratio are calculated. It is shown that the main factor affecting the GAM spectrum is the plasma elongation, resulting in a significant decrease in the mode frequency.

About the authors

E. A. Sorokina

National Research Center “Kurchatov Institute,”; People’s Friendship University of Russia

Author for correspondence.
Email: sorokina.ekaterina@gmail.com
Russian Federation, Moscow; Moscow

V. P. Lakhin

National Research Center “Kurchatov Institute,”

Email: sorokina.ekaterina@gmail.com
Russian Federation, Moscow

L. V. Konovaltseva

People’s Friendship University of Russia

Email: sorokina.ekaterina@gmail.com
Russian Federation, Moscow

V. I. Ilgisonis

National Research Center “Kurchatov Institute,”; People’s Friendship University of Russia; National Research Nuclear University “MEPhI,”

Email: sorokina.ekaterina@gmail.com
Russian Federation, Moscow; Moscow; Moscow

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